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Expanding Expressions Using Standard Identities

Expanding Expressions Using Standard Identities

Secondary 2

Expand each of the following expressions.

  1. \({{\left( x+7 \right)}^{2}}\)
  2. \({{\left( 3x+5y \right)}^{2}}\)
  3. \({{\left( 9-x \right)}^{2}}\)
  4. \({{\left( 3x-8y \right)}^{2}}\)
  5. \(\left( x-10 \right)\left( x+10 \right)\)
  6. \(\left( 2x-7y \right)\left( 2x+7y \right)\)

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Answer:(a) \(x^2+14x+49\) (b) \(9x^2+30xy+25y^2\) (c) \(x^2-18x+81\) (d) \(9x^2-48xy+64y^2\) (e) \(x^2-100\) (f) \(4x^2-49y^2\)

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